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Finding the Third Proportional to 508,324 and 677,686

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Solution

The third proportional to 508,324 and 677,686 is: 903,475.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,324 : 677,686 = 677,686 : x
  2. Step 2: Convert to fraction form
    508,324/677,686 = 677,686/x
  3. Step 3: Cross multiply
    508,324x = 677,686 × 677,686
  4. Step 4: Simplify right side
    508,324x = 459,258,314,596
  5. Step 5: Solve for x
    x = 459,258,314,596/508,324
  6. Step 6: Final answer
    x = 903,475.57

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.